y = tan-¹ (cosh x) (sin²x) (sech x) secz (use logarithm

Q: if f(X)= SINX+2X+1 and g is the inverse function of f, what is the value of g'(1) ?

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -2 x-intercepts…

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Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations? can…

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Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

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Q: Find the laplace transform of f(t)= t²e³t sin 4t OF (s) OF (s) = OF (s) = OF (s) = OF (s): - OF (s)…

A: This question is related to Laplace transform, we will solve it using given information.

Q: sec+2x tan 2x and -dx 11 1 I + 12 tan 2x 16 tan³2x Ⓡ (cor³2x) ( 1+3csc22x 12 Ⓒ/cot²2xcot³21+C 16…

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Q: Below is the graph of altitude A(t) for a balloon that is rising and falling. 15,000 A(t) 10,000…

A: In the given graph we have to determine tmin and tmax

Q: How many outcomes are in the sample space if a coin is flipped three times? 8 9 6

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Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18

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Q: Determine the order of the given differential equation and state whether the equation is linear or…

A: Here we have to determine the order of the given differential equation and state whether the…

Q: x²+x+1 so Ja 2x²+2+x²+x dx dx = [Aƒ (x) – B ln(g(x))] à + D fb +2 and if A=,B<0, then g(x) = .

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Q: Method A: Method B: Replacing cosa by 1-sina. Replacing sin by 1- cos². Replacing seca by 1 + tan²…

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Q: Solve the following differential equations of y"+7y' +10y=2e³x

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Q: Solve the initial value problem y' = 4 cos(4x) 3+ 2y , y(0) = -1 and determine where the solution…

A: Given IVP y'=4cos (4x)3+2y , y(0)=-1

Q: π/4 x³ dx (x²+4)5/2 (Use trigonometric substitution)

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Q: -2 + อน Ore 0

A: Suppose uxy=0 , denotes u = uy implies uy = 0 uxy = F(x) + G(y)  ,satisfies uxy = 0 a) y du/dxdy +…

Q: Solve the given differential equation. All solutions should be found. dy 3x² - 7y - y³ 7x + 3xy² dx…

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Q: Describe the graph of the equation. r=-13 i+(1-t2) j+t k O It is a parabola in the plane x = -13,…

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Q: 21. 5₁ 1 dx (A) 2 So to dx dx both diverge when p = xP (B) 1 © DO dx and (E) -1 HOR LAY A DUPA

A: Divergent

Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: IV. Do as indicated. 1. Let f(x) = where = 1. 1 Find the equation of the tangent line to the graph…

A: Let's find.

Q: [2 If A = 3 4 1. 3 2. 6 3. 8 4. 0 x-3 -2 -1 x-27 -1 -5 is a symmetric matrix then x 4

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Q: Find the limit, if it exists. lim (---)

A: Given that a limit problem and we solve this problem by using general property of limit.   Here i…

Q: 4d³y-13 +6y=0 dy dx3 dx

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Q: 2. Use Squeeze Theorem to evaluate lim sin(sinh x) csch z. 8118

A: Given problem :- use squeeze  theorem evalute limx→-∞sin(sin(hx))csc(hx)

Q: The radius of a circle increases at a rate of 2 m/s. Find the rate at which the area of the circle…

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Q: V. Given: 2. Find f'(2), if it exists. el3z-61-2, f(x)=[2x - 5], √x²-9, if x ≤2 if 2 3

A: Solution is given below:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2/3 dy = Need Help? Read It…

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Q: y"+6y' +8y=10e-³x ;

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Q: 2 Find the center of the following equation.      x 2 +y 2 + 8x - 6y - 15 = 0 (4, 3) (8, -6) (-4,…

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Q: 11. ydx + x(x²y = 1)dy = 0 -

A: y dx+x3 y dy- x dy=0(y dx -x dy) +x3y dy =0(x dy-y dx)-x3y dy=0dividing by x2;(x dy-y dx)x2=xy dy…

Q: Definite Integral and Plane Areas by integration (snow solution) dx + So - 2 1+x 2. S dx 25-x2 = 1/2…

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Q: a horizontal coordinate line has eet at the end of t seconds. ocity and instantaneous accelera hen…

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Q: Question 1 sec42x Find -dx tanº2x -=(corº2x) ( 11 12 tan62x cot22x- - (cort2x) A - 1/1 (0 (A) B…

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Q: The IBP formula fudv=uv-fvdu Which of the following statements fits and satisfies the equations?…

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Q: 8 An acceleration function is expressed as a (s, v) = s²-. ' (v+1)³ determine displacement by…

A: a(s, v)=s2-8(v+1)3v(s)=∫0s a(s, v) dv      =∫0s s2-8(v+1)3 dv     =s2v0s -8 (v+1)-3+1-3+10s     =s2s…

Q: 18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0…

A: Solution is here

Q: 16. lim x¹/ x→0+

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Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

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Q: Q2) Which of the following series is converge or diverge Σ{"} ,0.7777777777777 n=1 . Σ n=1 27

A: a)=∑n=1∞ n-1n2=∑n=1∞ 1n-1n2{using p-series test:∑n=1∞ 1np converges only when p&gt;1diverges for…

Q: Find the arc length of the graph of r(t) = ev NOTE: Enter the exact answer. L = 451 e√²ti + e-√² +…

A: Here we have to find the arc length of the graph of r(t)=e√2ti+e-√2tj+2tk , 0&lt;=t&lt;=√2ln5.

Q: 7 What is the probability of getting two heads and one tail when a coin is flipped three times?…

A: solving

Q: (x + 2)(6x - 1) (6 - x)(4x + 2) Find the horizontal asymptote of f(x) = 4- y=

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Q: 3. lim x-3 (x-3) tan(9-x²) sin²(2x - 6)

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Q: dw a) Find for the following function. dt w = 2ye* -In(z), x = ln(t2 + 1), y = cos(2t + 2), z = et…

A: If w=f(x,y,z) and x =g(t),y=h(t) , z=u(t) then,    dwdt =∂w∂x.dxdt+∂w∂y.dydt+∂w∂z.dzdt. Note : As…

Q: Sπ/4 ___xª dx (x²+4)5/2 (Use trigonometric substitution)

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Q: Solve the given initial value problem. O x¹y² - xy³ = = 84 x³y² - y² = 26 x¹y² + xy³ = 78 x³y² + xy³…

A: Let's find.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find u+v

Q: If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are constants, ....…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy= Need…

A: Using derivative